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233245064 = 231319412879
BaseRepresentation
bin11011110011100…
…00100110001000
3121020220002002002
431321300212020
5434202320224
635051130132
75531356523
oct1571604610
9536802062
10233245064
1110a72a518
1266143948
1339427340
1422d97bba
15157249ae
hexde70988

233245064 has 64 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 99463680.

The previous prime is 233245063. The next prime is 233245069. The reversal of 233245064 is 460542332.

It is not an unprimeable number, because it can be changed into a prime (233245063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79577 + ... + 82455.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2233245064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233245064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

233245064 is an abundant number, since it is smaller than the sum of its proper divisors (274786936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233245064 is a wasteful number, since it uses less digits than its factorization.

233245064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 233245064 is about 15272.3627510611. The cubic root of 233245064 is about 615.5606089610.

Adding to 233245064 its reverse (460542332), we get a palindrome (693787396).

The spelling of 233245064 in words is "two hundred thirty-three million, two hundred forty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 19 26 38 41 52 76 82 104 152 164 247 328 494 533 779 988 1066 1558 1976 2132 2879 3116 4264 5758 6232 10127 11516 20254 23032 37427 40508 54701 74854 81016 109402 118039 149708 218804 236078 299416 437608 472156 711113 944312 1422226 1534507 2242741 2844452 3069014 4485482 5688904 6138028 8970964 12276056 17941928 29155633 58311266 116622532 233245064